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Finding the Third Proportional to 111,047,278 and 177,330,941

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Solution

The third proportional to 111,047,278 and 177,330,941 is: 283,179,049.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,047,278 : 177,330,941 = 177,330,941 : x
  2. Step 2: Convert to fraction form
    111,047,278/177,330,941 = 177,330,941/x
  3. Step 3: Cross multiply
    111,047,278x = 177,330,941 × 177,330,941
  4. Step 4: Simplify right side
    111,047,278x = 31,446,262,635,945,480
  5. Step 5: Solve for x
    x = 31,446,262,635,945,480/111,047,278
  6. Step 6: Final answer
    x = 283,179,049.52

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.